Simplices in the Euclidean ball

Matthieu Fradelizi (1) , Grigoris Paouris (2) , Carsten Schütt (3)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 Department of Mathematics and Statistics [Texas Tech]
3 Mathematisches Seminar [Kiel]

We establish some inequalities for the second moment $$ \frac{1}{|K|}\int_{K}|x|_{2}^{2} d x $$ of a convex body $K$ under various assumptions on the position of $K$.

Mots clés: convex body; simplex

Domaines: Analyse fonctionnelle [math.FA]

Matthieu Fradelizi, Grigoris Paouris, Carsten Schütt. Simplices in the Euclidean ball. Canadian Mathematical Bulletin, 2011, 55 (3), pp.498-508. ⟨10.4153/CMB-2011-142-1⟩. ⟨hal-00731269⟩